Published January 2007
| Version v1
Journal article
Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics
Creators
- 1. M. Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Cracow (Poland)
Description
We analyze the N→∞ limit of supersymmetric Yang-Mills quantum mechanics (SYMQM) in two space time dimensions. To do so we introduce a particular class of SU(N) invariant polynomials and give the solutions of two-dimensional SYMQM in terms of them. We conclude that in this limit the system is not fully described by the single trace operators Tr(a†n) since there are other, bilinear operators Trn(a†a†) that play a crucial role when the Hamiltonian is free
Additional details
Identifiers
- DOI
- 10.1063/1.2408399;
- arXiv
- arXiv:hep-th/0608147v3;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 48
- Journal Issue
- 1
- Journal Page Range
- p. 012302-012302.16
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38088195
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- HAMILTONIANS; MATHEMATICAL SOLUTIONS; POLYNOMIALS; QUANTUM FIELD THEORY; QUANTUM MECHANICS; SPACE-TIME; SU GROUPS; SUPERSYMMETRY; TWO-DIMENSIONAL CALCULATIONS; YANG-MILLS THEORY
- Descriptors DEC
- FIELD THEORIES; FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; SYMMETRY; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2007 American Institute of Physics